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3 years ago

How many soulutions does the system of equations have x-3y=15. and 3x-9y=45

Mathematics

1 answer:

Irina-Kira [14]3 years ago

5 0

Answer:

<h2>Infinitely many solutions</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}x-3y=15\\3x-9y=45\end{array}\right\\\\\text{Divide both sides of the second equation by 3}\\\\\dfrac{3x}{3}-\dfrac{9y}{3}=\dfrac{45}{3}\\\\x-3y=15\\\\\text{We received the same equation as the first.}\\\\\bold{CONCLUSION}\\\\\text{The system of equations has infinitely many solutions.}$

$\left\{\begin{array}{ccc}a_1x+b_1y=c_1\\a_2x+b_2x=c_2\end{array}\right\\\\\text{If}\ a_1=a_2,\ b_2=b_2,\ c_1=c_2,\ \text{then the system of equations}\\\text{ has infinitely many solutions}\\\\\text{If}\ a_1=a_2,\ b_1=b_2,\ c_1\neq c_2,\ \text{then the system of equations}\\\text{has no solutions}\\\\\text{Other the system of equations has one solution.}$

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Complete the equation of the line through (-6,-5) and (−4,−4)

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Answer:

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3 years ago

You are planning to put a new digital flat t.v on a wall that is 12ft long and 9ft high. the digital t.v has a diagonal of 72 in

Pie

Area of wall = 9 * 12 = 108 ft^2
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Lenght = 2x
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x^2+(2x)^2=6^2
x^2+4x^2=36
5x^2=35
x^2=36/5
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3 years ago

PLZ HELP ASAP!!!!! <img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">

AveGali [126]

The simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

Solution:

Given expression is $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ .

To simplify the given expression.

$$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$

Using exponent rule: $\frac{1}{a^{-m}}=a^m$

$$\Rightarrow4x \cdot x^{5}.x^{-3}$

Using another exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x \cdot x^{5-3}$

$$\Rightarrow4x \cdot x^{2}$

Using exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x^{1+2}$

$$\Rightarrow4x^3$

Hence the simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

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3 years ago

What is the area of a rectangle if 1 base is 14 in, the 2nd base is 3.5 in and the height is 8 in?

algol13

Check the picture below.

notice, we have three pair of sides, let's add them all up to get the area

$\stackrel{\textit{left and right}}{2(8\cdot 14)}+\stackrel{\textit{front and back}}{2(3.5\cdot 8)}+\stackrel{\textit{top and bottom}}{2(3.5\cdot 14)}\implies 378~in^2$

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2 years ago

Simplify.<br><br> 4n + 12 + 7n<br><br> A. 4 n + 19<br> B. 23 n<br> C. 16 n + 7<br> D. 11 n + 12

Darina [25.2K]

Answer:

D. 11n + 12

Step-by-step explanation:

You can simplify the 4n + 7n to be 11n by adding them together.

This means the answer is 11n + 12.

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1 year ago

Read 2 more answers